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# How long would it take to get 8192 random encounters in RSE?

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I’ve been hunting mudkip since December as you know, and my average so far is 3500 encounters (including pooch) per every 11 hours. By using this as reference, by the time I get odds, I’d be looking for a total of well over 24 hours. So, since I’m doing a Dream Team Quest, and I plan on random encountering, how long will it take for me to hit odds?

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It depends on what encounter method you're using. I think regular tall grass is faster than both surfing and the extra tall grass on routes 119 and 120. I don't know as much about caves.
Just for regular grass is fine, good point

The encounter rate in most outdoor locations (grass, Route 111's sand, etc., but not surfing or caves) is 11% per step while walking or running (1/9.09), or 8.889% per step while riding a bike (1/11.25).
Leading your party with a Pokemon that has Illuminate doubles your encounter rate. Using a White Flute increases the encounter rate by 1.5x, but I could not find any information about when or how the White Flute wears off, or how often you would need to refresh it, so I'm excluding it from my calculations.
After timing myself in Emerald both running and on the acro bike, the time averaged out to about 0.125 seconds per step while running, and 0.1 seconds per step while on the acro bike. I did not test the mach bike because its speed varies, making it too inconsistent.
I also timed myself running away from wild Pokemon, and found that the fastest you can run away takes about 12.5 seconds with battle animations turned off (to skip the Pokemon cry animations).
Let's also assume that you're not 100% efficient, and tack a 1.3x multiplier onto the end, to account for any miscellaneous lost time.

Source for encounter rates

Running: ( 0.125 seconds per step * 9.09 steps + 12.5 seconds to run away ) * 8192 encounters * 1.3 = 145,221 seconds, or 40 hours, 20 minutes, and 21 seconds
With Illuminate: ( 0.125 seconds per step * 4.545 steps + 12.5 seconds to run away ) * 8192 encounters * 1.3 = 139,170 seconds, or 38 hours, 39 minutes, and 30 seconds

Acro Bike: ( 0.1 seconds per step * 11.25 steps + 12.5 seconds to run away ) * 8192 encounters * 1.3 = 145,101 seconds, or 40 hours, 18 minutes, and 21 seconds
With Illuminate: ( 0.1 seconds per step * 5.625 steps + 12.5 seconds to run away ) * 8192 encounters * 1.3 = 139,110 seconds, or 38 hours, 40 minutes, and 30 seconds

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krlw senpai helping me with shiny hunting once again

The formula I used to work this out is: (8192 / Average amount of encounters per hour).

my average so far is 3500 encounters... ...per every 11 hours.

Average amount of encounters per hour: (3500 / 11) = 318.18 recurring.

Time it should take to get 8192 encounters: (8192 / 318.18 recurring) = 25.75 hours (rounded to 2 decimal places), or 25 hours and 45 minutes.

Assuming you get 318 encounters (rounded down for simplicity) every hour, it should take approximately 25 hours and 45 minutes to get 8192 encounters.

Sorry, perhaps I wasn’t clear. I appreciate the effort, but the encounter per hour was for my soft resetting for mudkip, I’m asking about random encounters. Upvote for effort though uwu

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